메뉴 건너뛰기




Volumn 38, Issue 2, 2006, Pages 559-578

A simple integer-valued bilinear time series model

Author keywords

Bilinear model; Integer valued process

Indexed keywords

ESTIMATION; MATHEMATICAL MODELS; METHOD OF MOMENTS; NORMAL DISTRIBUTION;

EID: 33745934807     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1151337085     Document Type: Article
Times cited : (37)

References (33)
  • 1
  • 2
    • 0001089258 scopus 로고
    • An integer-valued pth-order autoregressive structure (INAR(p)) process
    • Alzaid, A. and Al-Osh, M. (1990). An integer-valued pth-order autoregressive structure (INAR(p)) process. J. Appl. Prob. 27, 314-324.
    • (1990) J. Appl. Prob. , vol.27 , pp. 314-324
    • Alzaid, A.1    Al-Osh, M.2
  • 4
    • 33748493228 scopus 로고    scopus 로고
    • Uniform limit theorems for the periodogram of a weakly dependent time series and their applications to Whittle's estimate
    • Submitted
    • Bardet, J.-M., Doukhan, P. and León, J. R. (2005). Uniform limit theorems for the periodogram of a weakly dependent time series and their applications to Whittle's estimate. Submitted.
    • (2005)
    • Bardet, J.-M.1    Doukhan, P.2    León, J.R.3
  • 6
    • 3843066519 scopus 로고    scopus 로고
    • Observation-driven models for Poisson counts
    • Davis, R. A., Dunsmuir, W. T. M. and Streett, S. B. (2003). Observation-driven models for Poisson counts. Biometrika 90, 777-790.
    • (2003) Biometrika , vol.90 , pp. 777-790
    • Davis, R.A.1    Dunsmuir, W.T.M.2    Streett, S.B.3
  • 7
    • 0037506138 scopus 로고    scopus 로고
    • A new covariance inequality and applications
    • Dedecker, J. and Doukhan, P. (2003). A new covariance inequality and applications. Stoch. Process. Appl. 106, 63-80.
    • (2003) Stoch. Process. Appl. , vol.106 , pp. 63-80
    • Dedecker, J.1    Doukhan, P.2
  • 8
    • 0642269362 scopus 로고
    • A bivariate first-order autoregressive time series model in exponential variables (BEAR (1))
    • Dewald, L. S., Lewis, P. A. W. and McKenzie, E. (1989). A bivariate first-order autoregressive time series model in exponential variables (BEAR (1)). Manag. Sci. 35, 1236-1246.
    • (1989) Manag. Sci. , vol.35 , pp. 1236-1246
    • Dewald, L.S.1    Lewis, P.A.W.2    McKenzie, E.3
  • 9
    • 0141898846 scopus 로고
    • Branching processes with immigration and integer-valued times series
    • Dion, J.-P., Gauthier, G. and Latour A. (1995). Branching processes with immigration and integer-valued times series. Serdica 21, 123-136.
    • (1995) Serdica , vol.21 , pp. 123-136
    • Dion, J.-P.1    Gauthier, G.2    Latour, A.3
  • 10
    • 0035531240 scopus 로고    scopus 로고
    • Functional estimation of a density under a new weak dependence condition
    • Doukhan, P. and Louhichi, S. (2001). Functional estimation of a density under a new weak dependence condition. Scand. J. Statist. 28, 325-341.
    • (2001) Scand. J. Statist. , vol.28 , pp. 325-341
    • Doukhan, P.1    Louhichi, S.2
  • 11
    • 84981474440 scopus 로고
    • The integer-valued autoregressive (INAR(p)) model
    • Du, J. and Li, Y. (1991). The integer-valued autoregressive (INAR(p)) model. J. Time Ser. Anal. 12, 129-142.
    • (1991) J. Time Ser. Anal. , vol.12 , pp. 129-142
    • Du, J.1    Li, Y.2
  • 14
    • 0345144826 scopus 로고
    • Convergence forte des estimateurs des paramètres d'un processus GENAR(p)
    • Gauthier, G. and Latour, A. (1994). Convergence forte des estimateurs des paramètres d'un processus GENAR(p). Ann. Sci. Math. Québec 18, 49-71.
    • (1994) Ann. Sci. Math. Québec , vol.18 , pp. 49-71
    • Gauthier, G.1    Latour, A.2
  • 15
    • 61849136856 scopus 로고
    • Non-linear time series modelling
    • (Proc. 1st Symp., Tulsa, OK, 1976), Academic Press, New York
    • Granger, C. W. J. and Andersen, A. (1978). Non-linear time series modelling. In Applied Time Series Analysis (Proc. 1st Symp., Tulsa, OK, 1976), Academic Press, New York, pp. 25-38.
    • (1978) Applied Time Series Analysis , pp. 25-38
    • Granger, C.W.J.1    Andersen, A.2
  • 16
    • 0002193777 scopus 로고
    • Discrete time series generated by mixtures. I: Correlational and runs properties
    • Jacobs, R A. and Lewis, P. A. W. (1978). Discrete time series generated by mixtures. I: Correlational and runs properties. J. R. Statist. Soc. B 40, 94-105.
    • (1978) J. R. Statist. Soc. B , vol.40 , pp. 94-105
    • Jacobs, R.A.1    Lewis, P.A.W.2
  • 17
    • 0003635669 scopus 로고
    • Discrete time series generated by mixtures. II: Asymptotic properties
    • Jacobs, R A. and Lewis, P. A. W. (1978). Discrete time series generated by mixtures. II: Asymptotic properties. J. R. Statist. Soc. B 40, 222-228.
    • (1978) J. R. Statist. Soc. B , vol.40 , pp. 222-228
    • Jacobs, R.A.1    Lewis, P.A.W.2
  • 18
    • 84986772869 scopus 로고
    • Stationary discrete autoregressive-moving average time series generated by mixtures
    • Jacobs, P. A. and Lewis, P. A. W. (1983). Stationary discrete autoregressive-moving average time series generated by mixtures. J. Time Ser. Anal. 4, 19-36.
    • (1983) J. Time Ser. Anal. , vol.4 , pp. 19-36
    • Jacobs, P.A.1    Lewis, P.A.W.2
  • 19
    • 0242535993 scopus 로고    scopus 로고
    • The multivariate GINAR(p) process
    • Latour, A. (1997). The multivariate GINAR(p) process. Adv. Appl. Prob. 29, 228-248.
    • (1997) Adv. Appl. Prob. , vol.29 , pp. 228-248
    • Latour, A.1
  • 20
    • 0345565915 scopus 로고    scopus 로고
    • Existence and stochastic structure of a non-negative integer-valued autoregressive process
    • Latour, A. (1998). Existence and stochastic structure of a non-negative integer-valued autoregressive process. J. Time Ser. Anal. 19, 439-455.
    • (1998) J. Time Ser. Anal. , vol.19 , pp. 439-455
    • Latour, A.1
  • 21
    • 0002117811 scopus 로고
    • Minification processes and their transformations
    • Lewis, P. A. W. and McKenzie, E. (1991). Minification processes and their transformations. J. Appl. Prob. 28, 45-57.
    • (1991) J. Appl. Prob. , vol.28 , pp. 45-57
    • Lewis, P.A.W.1    McKenzie, E.2
  • 23
    • 0000049454 scopus 로고
    • Autoregressive moving-average processes with negative-binomial and geometric marginal distributions
    • McKenzie, E. (1986). Autoregressive moving-average processes with negative-binomial and geometric marginal distributions. Adv. Appl. Prob. 18, 679-705.
    • (1986) Adv. Appl. Prob. , vol.18 , pp. 679-705
    • McKenzie, E.1
  • 24
    • 0001179319 scopus 로고
    • Some ARMA models for dependent sequences of Poisson counts
    • McKenzie, E. (1988). Some ARMA models for dependent sequences of Poisson counts. Adv. Appl. Prob. 20, 822-835.
    • (1988) Adv. Appl. Prob. , vol.20 , pp. 822-835
    • McKenzie, E.1
  • 25
    • 33745959483 scopus 로고    scopus 로고
    • Some basic and asymptotic properties in INMA(q) processes
    • Park, Y. and Kim, M. (1997). Some basic and asymptotic properties in INMA(q) processes. J. Korean Statist. Soc. 26, 155-170.
    • (1997) J. Korean Statist. Soc. , vol.26 , pp. 155-170
    • Park, Y.1    Kim, M.2
  • 26
    • 0001318699 scopus 로고
    • Bilinear Markovian representation and bilinear models
    • Pham, D. T. (1985). Bilinear Markovian representation and bilinear models. Stoch. Process. Appl. 20, 295-306.
    • (1985) Stoch. Process. Appl. , vol.20 , pp. 295-306
    • Pham, D.T.1
  • 27
    • 0001703939 scopus 로고
    • The mixing property of bilinear and generalised random coefficient autoregressive models
    • Pham, D. T. (1986). The mixing property of bilinear and generalised random coefficient autoregressive models. Stoch. Process. Appl. 23, 291-300.
    • (1986) Stoch. Process. Appl. , vol.23 , pp. 291-300
    • Pham, D.T.1
  • 28
    • 33745953070 scopus 로고    scopus 로고
    • BIN models for trade-by-trade data. Modelling the number of trades in a fixed interval of time
    • Tech. Rep. 0740, Econometric Society. Available
    • Rydberg, T. H. and Shephard, N. (2000). BIN models for trade-by-trade data. Modelling the number of trades in a fixed interval of time. Tech. Rep. 0740, Econometric Society. Available at http://ideas.repec.org/p/ ecm/wc2000/0740.html.
    • (2000)
    • Rydberg, T.H.1    Shephard, N.2
  • 30
    • 33745946376 scopus 로고    scopus 로고
    • Some observation driven models for time series
    • Doctoral Thesis, Department of Statistics, Colorado State University
    • Streett, S. B. (2000). Some observation driven models for time series. Doctoral Thesis, Department of Statistics, Colorado State University.
    • (2000)
    • Streett, S.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.